113130000000000 has 968 divisors, whose sum is σ = 419794913277600. Its totient is φ = 30096000000000.

The previous prime is 113129999999927. The next prime is 113130000000047. The reversal of 113130000000000 is 31311.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a self number, because there is not a number n which added to its sum of digits gives 113130000000000.

It is an unprimeable number.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 269999999791 + ... + 270000000209.

Almost surely, 2^{113130000000000} is an apocalyptic number.

113130000000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113130000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209897456638800).

113130000000000 is an abundant number, since it is smaller than the sum of its proper divisors (306664913277600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113130000000000 is an frugal number, since it uses more digits than its factorization.

113130000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

Adding to 113130000000000 its reverse (31311), we get a palindrome (113130000031311).

The spelling of 113130000000000 in words is "one hundred thirteen trillion, one hundred thirty billion", and thus it is an aban number.